M. Zakarczemny

collaborators

3 papers

math.NT2022

On Frobenius problem with restrictions on common divisors of coefficients

Piotr Miska, Maciej Zakarczemny

Let $m, s, t$ are positive integers with $t \leq s - 2$ and $a_{1}, a_{2}, \dots, a_{s}$ are positive integers such that $(a_{1}, a_{2}, \dots, a_{s - 1}) = 1$ . In the paper we prove that every sufficien…

math.GR2019

Note on the Davenport's constant for finite abelian groups with rank three

Maciej Zakarczemny

Let $G$ be a finite abelian group and $D (G)$ denote the Davenport constant of $G$ . We derive new upper bound for the Davenport constant for all groups of rank three. Our main resul…

math.AC2019

On the zero-sum constant, the Davenport constant and their analogues

Maciej Zakarczemny

Let $D (G)$ be the Davenport constant of a finite Abelian group $G$ . For a positive integer $m$ (the case $m = 1$ , is the classical one) let $E_{m} (G)$ (or $η_{m} (G)$ , respect…